A convergent post-newtonian approximation for the constraint equations in general relativity
A Hadamard type theorem for the space-time.
A Morse theory for light rays on stably causal lorentzian manifolds
A new characterization of -stable hypersurfaces in space forms
In this paper we study the -stability of closed hypersurfaces with constant -th mean curvature in Riemannian manifolds of constant sectional curvature. In this setting, we obtain a characterization of the -stable ones through of the analysis of the first eigenvalue of an operator naturally attached to the -th mean curvature.
A Note on Billiard Systems in Finsler Plane with Elliptic Indicatrices
A xylophone detector in space
We discuss spacecraft Doppler tracking for detecting gravitational waves in which Doppler data recorded on the ground are linearly combined with Doppler measurements made on board a spacecraft. By using the four-link radio system first proposed by Vessot and Levine [1] we derive a new method for removing from the combined data the frequency fluctuations due to the Earth troposphere, ionosphere, and mechanical vibrations of the antenna on the ground. This method also reduces the frequency fluctuations...
An almost-Robertson-Walker universe model and the equivalence classes of perturbations : nonbarotropic perfect fluids
An introduction to the Einstein-Vlasov system
Axioms for topological quantum field theories
Bianchi identities, Yang-Mills and Higgs field produced on -deformed bundle.
Brief comments on the Note «Qualche osservazione sulle forze centrali in Relatività Ristretta» of Luigi Stazi
The central «pseudopotentials» yielding, in relativistic mechanics, closed (bounded) orbits for any given energy are derived by inspection (of the algebraic form of the hamiltonian).
Cartan geometry, supergravity and group manifold approach
We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations. In a first part we review the geometry of classical gauge theory, as a background for understanding gauge theories of gravity in terms of Cartan geometry. The second part introduces the basics of the group manifold approach to supergravity, hinting at the deep rooted connections to Cartan supergeometry....
Characterizations of the nonlinear connection in the higher order geometry.
Classical limit of the matrix elements on quantized Lobachevskii plane.
Classification of cylindrically symmetric static space-times according to their proper homothetic vector fields.
Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space.
Complete solution of Hadamard's problem for the scalar wave equation on Petrov type III space-times
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a -valued function defined on the boundary of a bounded regular domain of . When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a subsequence, a sequence of Ginzburg-Landau minimizers, as the coupling parameter tends to infinity, converges to a unimodular harmonic map away from a codimension-2 minimal current minimizing the area within the homology...
Connessioni adattate ad un Riferimento in Relatività Generale
I vari metodi di definire connessioni adattate ad un Riferimento fisico vengono qui ricondotti ad un unico formalismo. Viene inoltre introdotta la nozione generale di campo gravitazionale affine adattato (sia al Riferimento che alla connessione).
Cosmological background of gravitational waves